TSTP Solution File: PHI012+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PHI012+1 : TPTP v8.2.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 02:18:46 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 404 ( 15 equ)
% Maximal formula atoms : 11 ( 9 avg)
% Number of connectives : 306 ( 120 ~; 113 |; 56 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 174 ( 174 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 72 ( 52 !; 19 ?; 27 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_4,type,
sQ3_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f59,plain,
$false,
inference(subsumption_resolution,[],[f55,f20]) ).
tff(f20,plain,
object(sK1),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
( ! [X0] :
( ( ( sK0(X0) != X0 )
& exemplifies_property(none_greater,sK0(X0))
& object(sK0(X0)) )
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) )
& exemplifies_property(none_greater,sK1)
& object(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f13,f12]) ).
tff(f12,plain,
! [X0] :
( ? [X1] :
( ( X0 != X1 )
& exemplifies_property(none_greater,X1)
& object(X1) )
=> ( ( sK0(X0) != X0 )
& exemplifies_property(none_greater,sK0(X0))
& object(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f13,plain,
( ? [X2] :
( exemplifies_property(none_greater,X2)
& object(X2) )
=> ( exemplifies_property(none_greater,sK1)
& object(sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f11,plain,
( ! [X0] :
( ? [X1] :
( ( X0 != X1 )
& exemplifies_property(none_greater,X1)
& object(X1) )
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) )
& ? [X2] :
( exemplifies_property(none_greater,X2)
& object(X2) ) ),
inference(rectify,[],[f7]) ).
tff(f7,plain,
( ! [X1] :
( ? [X2] :
( ( X1 != X2 )
& exemplifies_property(none_greater,X2)
& object(X2) )
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) )
& ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) ) ),
inference(flattening,[],[f6]) ).
tff(f6,plain,
( ! [X1] :
( ? [X2] :
( ( X1 != X2 )
& exemplifies_property(none_greater,X2)
& object(X2) )
| ~ exemplifies_property(none_greater,X1)
| ~ object(X1) )
& ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,plain,
~ ( ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) )
=> ? [X1] :
( ! [X2] :
( object(X2)
=> ( exemplifies_property(none_greater,X2)
=> ( X1 = X2 ) ) )
& exemplifies_property(none_greater,X1)
& object(X1) ) ),
inference(rectify,[],[f4]) ).
tff(f4,negated_conjecture,
~ ( ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) )
=> ? [X0] :
( ! [X1] :
( object(X1)
=> ( exemplifies_property(none_greater,X1)
=> ( X0 = X1 ) ) )
& exemplifies_property(none_greater,X0)
& object(X0) ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
( ? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) )
=> ? [X0] :
( ! [X1] :
( object(X1)
=> ( exemplifies_property(none_greater,X1)
=> ( X0 = X1 ) ) )
& exemplifies_property(none_greater,X0)
& object(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_2) ).
tff(f55,plain,
~ object(sK1),
inference(resolution,[],[f54,f21]) ).
tff(f21,plain,
exemplifies_property(none_greater,sK1),
inference(cnf_transformation,[],[f14]) ).
tff(f54,plain,
! [X0: $i] :
( ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(subsumption_resolution,[],[f53,f22]) ).
tff(f22,plain,
! [X0: $i] :
( object(sK0(X0))
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f14]) ).
tff(f53,plain,
! [X0: $i] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| ~ object(sK0(X0)) ),
inference(subsumption_resolution,[],[f52,f23]) ).
tff(f23,plain,
! [X0: $i] :
( exemplifies_property(none_greater,sK0(X0))
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f14]) ).
tff(f52,plain,
! [X0: $i] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_property(none_greater,sK0(X0))
| ~ object(sK0(X0)) ),
inference(subsumption_resolution,[],[f51,f26]) ).
tff(f26,plain,
! [X0: $i] :
( exemplifies_property(conceivable,X0)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ( exemplifies_property(conceivable,sK2(X0))
& exemplifies_relation(greater_than,sK2(X0),X0)
& object(sK2(X0)) )
| ~ exemplifies_property(conceivable,X0) )
& ( ( ! [X2] :
( ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2) )
& exemplifies_property(conceivable,X0) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f17,f18]) ).
tff(f18,plain,
! [X0] :
( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
=> ( exemplifies_property(conceivable,sK2(X0))
& exemplifies_relation(greater_than,sK2(X0),X0)
& object(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| ~ exemplifies_property(conceivable,X0) )
& ( ( ! [X2] :
( ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2) )
& exemplifies_property(conceivable,X0) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| ~ exemplifies_property(conceivable,X0) )
& ( ( ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) )
& exemplifies_property(conceivable,X0) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| ~ exemplifies_property(conceivable,X0) )
& ( ( ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) )
& exemplifies_property(conceivable,X0) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(nnf_transformation,[],[f10]) ).
tff(f10,plain,
! [X0] :
( ( exemplifies_property(none_greater,X0)
<=> ( ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) )
& exemplifies_property(conceivable,X0) ) )
| ~ object(X0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0] :
( object(X0)
=> ( exemplifies_property(none_greater,X0)
<=> ( ~ ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
& exemplifies_property(conceivable,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_none_greater) ).
tff(f51,plain,
! [X0: $i] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_property(none_greater,sK0(X0))
| ~ object(sK0(X0)) ),
inference(subsumption_resolution,[],[f50,f26]) ).
tff(f50,plain,
! [X0: $i] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,sK0(X0))
| ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_property(none_greater,sK0(X0))
| ~ object(sK0(X0)) ),
inference(duplicate_literal_removal,[],[f49]) ).
tff(f49,plain,
! [X0: $i] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,sK0(X0))
| ~ exemplifies_property(conceivable,X0)
| ~ object(X0)
| ~ exemplifies_property(none_greater,sK0(X0))
| ~ object(sK0(X0)) ),
inference(resolution,[],[f48,f27]) ).
tff(f27,plain,
! [X2: $i,X0: $i] :
( ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2)
| ~ object(X2)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f19]) ).
tff(f48,plain,
! [X0: $i] :
( exemplifies_relation(greater_than,X0,sK0(X0))
| ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,sK0(X0)) ),
inference(subsumption_resolution,[],[f47,f22]) ).
tff(f47,plain,
! [X0: $i] :
( exemplifies_relation(greater_than,X0,sK0(X0))
| ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,sK0(X0))
| ~ object(sK0(X0)) ),
inference(duplicate_literal_removal,[],[f46]) ).
tff(f46,plain,
! [X0: $i] :
( exemplifies_relation(greater_than,X0,sK0(X0))
| ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,sK0(X0))
| ~ object(sK0(X0))
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(resolution,[],[f44,f27]) ).
tff(f44,plain,
! [X0: $i] :
( exemplifies_relation(greater_than,sK0(X0),X0)
| exemplifies_relation(greater_than,X0,sK0(X0))
| ~ object(X0)
| ~ exemplifies_property(none_greater,X0) ),
inference(subsumption_resolution,[],[f43,f22]) ).
tff(f43,plain,
! [X0: $i] :
( exemplifies_relation(greater_than,X0,sK0(X0))
| exemplifies_relation(greater_than,sK0(X0),X0)
| ~ object(X0)
| ~ object(sK0(X0))
| ~ exemplifies_property(none_greater,X0) ),
inference(duplicate_literal_removal,[],[f40]) ).
tff(f40,plain,
! [X0: $i] :
( exemplifies_relation(greater_than,X0,sK0(X0))
| exemplifies_relation(greater_than,sK0(X0),X0)
| ~ object(X0)
| ~ object(sK0(X0))
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(resolution,[],[f33,f32]) ).
tff(f32,plain,
! [X0: $i] :
( ~ sQ3_eqProxy($i,sK0(X0),X0)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(equality_proxy_replacement,[],[f24,f31]) ).
tff(f31,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ3_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
tff(f24,plain,
! [X0: $i] :
( ( sK0(X0) != X0 )
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f14]) ).
tff(f33,plain,
! [X0: $i,X1: $i] :
( sQ3_eqProxy($i,X0,X1)
| exemplifies_relation(greater_than,X1,X0)
| exemplifies_relation(greater_than,X0,X1)
| ~ object(X1)
| ~ object(X0) ),
inference(equality_proxy_replacement,[],[f25,f31]) ).
tff(f25,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| exemplifies_relation(greater_than,X1,X0)
| exemplifies_relation(greater_than,X0,X1)
| ~ object(X1)
| ~ object(X0) ),
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
! [X0,X1] :
( ( X0 = X1 )
| exemplifies_relation(greater_than,X1,X0)
| exemplifies_relation(greater_than,X0,X1)
| ~ object(X1)
| ~ object(X0) ),
inference(flattening,[],[f8]) ).
tff(f8,plain,
! [X0,X1] :
( ( X0 = X1 )
| exemplifies_relation(greater_than,X1,X0)
| exemplifies_relation(greater_than,X0,X1)
| ~ object(X1)
| ~ object(X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
! [X0,X1] :
( ( object(X1)
& object(X0) )
=> ( ( X0 = X1 )
| exemplifies_relation(greater_than,X1,X0)
| exemplifies_relation(greater_than,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connectedness_of_greater_than) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : PHI012+1 : TPTP v8.2.0. Released v7.2.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n016.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat May 18 14:46:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/0.75 % (3375)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.75 % (3377)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.75 % (3378)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.75 % (3376)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.57/0.75 % (3381)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.57/0.75 % (3380)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.75 % (3382)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.57/0.75 % (3375)First to succeed.
% 0.57/0.75 % (3377)Also succeeded, but the first one will report.
% 0.60/0.76 % (3376)Also succeeded, but the first one will report.
% 0.60/0.76 % (3380)Refutation not found, incomplete strategy% (3380)------------------------------
% 0.60/0.76 % (3380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (3380)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (3380)Memory used [KB]: 965
% 0.60/0.76 % (3380)Time elapsed: 0.003 s
% 0.60/0.76 % (3380)Instructions burned: 2 (million)
% 0.60/0.76 % (3380)------------------------------
% 0.60/0.76 % (3380)------------------------------
% 0.60/0.76 % (3375)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3374"
% 0.60/0.76 % (3375)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Theorem for theBenchmark
% 0.60/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.76 % (3375)------------------------------
% 0.60/0.76 % (3375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (3375)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (3375)Memory used [KB]: 979
% 0.60/0.76 % (3375)Time elapsed: 0.005 s
% 0.60/0.76 % (3375)Instructions burned: 5 (million)
% 0.60/0.76 % (3374)Success in time 0.383 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------